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216943392 = 25317307433
BaseRepresentation
bin11001110111001…
…00101100100000
3120010012212101110
430323210230200
5421014142032
633305503320
75242663011
oct1473445440
9503185343
10216943392
11101505866
12607a1b40
1335c3a393
1420b53008
15140a47cc
hexcee4b20

216943392 has 96 divisors (see below), whose sum is σ = 606336192. Its totient is φ = 67682304.

The previous prime is 216943381. The next prime is 216943421. The reversal of 216943392 is 293349612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 216943392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500808 + ... + 501240.

It is an arithmetic number, because the mean of its divisors is an integer number (6316002).

Almost surely, 2216943392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216943392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303168096).

216943392 is an abundant number, since it is smaller than the sum of its proper divisors (389392800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216943392 is a wasteful number, since it uses less digits than its factorization.

216943392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 216943392 is about 14728.9983366147. The cubic root of 216943392 is about 600.8722424851.

The spelling of 216943392 in words is "two hundred sixteen million, nine hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 307 408 433 544 614 816 866 921 1228 1299 1632 1732 1842 2456 2598 3464 3684 4912 5196 5219 6928 7361 7368 9824 10392 10438 13856 14722 14736 15657 20784 20876 22083 29444 29472 31314 41568 41752 44166 58888 62628 83504 88332 117776 125256 132931 167008 176664 235552 250512 265862 353328 398793 501024 531724 706656 797586 1063448 1595172 2126896 2259827 3190344 4253792 4519654 6380688 6779481 9039308 12761376 13558962 18078616 27117924 36157232 54235848 72314464 108471696 216943392